Worksheet on third grade fractions is a great resource for children to practice the different types of questions on fraction. The questions are based on identifying the numerator and denominator of the given fraction; compare the pairs of fraction using less than (<), greater than (>) and equal (=) symbol; finding the equivalent of the given fractions; verifying whether the two fractions are equivalent; identifying proper and improper fractions; adding fractions; subtracting fractions and word problems on fractions.
1. Draw a circle and express 1/3 using colors
2. Draw a rectangle box and express 3/3 using colors
3. Draw a square box and express 2/3 using colors
4. Write the numerator and denominator of the following fraction:
(i) 7/15
(ii) 15/11
(iii) 24/25
(iv) 1/7
5. Write the fractions in words -
(i) \(\frac{1}{2}\) _________________________
(ii) \(\frac{3}{6}\) _________________________
(iii) \(\frac{2}{4}\) _________________________
(iv) \(\frac{1}{3}\) _________________________
6. Fill in the blanks:
(i) When we divide something into two equal parts it is called ________ .
(ii) When we divide something into four equal parts it is called ________.
(iii) \(\frac{3}{4}\) is written in words as ____________________ .
(iv) In \(\frac{9}{3}\) the denominator is ____________________ .
(v) In \(\frac{6}{2}\) the numerator is ____________________ .
7. Tick (✓) the correct options:
(i) Three fifth is written in figure as-
(a) \(\frac{3}{4}\); (b) \(\frac{1}{3}\); (c) \(\frac{3}{5}\); (d) \(\frac{3}{6}\)
(ii) Four sixth is written as-
(a) \(\frac{6}{4}\); (b) \(\frac{1}{4}\); (c) \(\frac{3}{4}\); (d) \(\frac{4}{6}\)
(iii) \(\frac{1}{4}\) is written in words as -
(a) three fourth; (b) one half; (c) one fourth; (d) two fourth
(iv) \(\frac{6}{2}\) is written in words as -
(a) two sixth; (b) sixth two; (c) one sixth; (d) three sixth
8. State 'T for True and 'F for False:
(i) In \(\frac{8}{2}\) numerator is 2.
(ii) In \(\frac{8}{2}\) denominator is 1.
(iii) One half is divided into two parts.
(iv) One fourth is divided into four parts.
(v) Is six divisible by two.
9. Put in ascending order:
\(\frac{1}{3}\), \(\frac{1}{2}\), \(\frac{3}{4}\), \(\frac{1}{4}\), \(\frac{2}{3}\) → _____, _____, _____, _____, _____ .
10. Write > or < or = between the following fractions:
(i) 1/5 ______ 1/6
(ii) 2/3 ______ 4/6
(iii) 1/8 ______ 1/7
(iv) 5/3 ______ 4/3
(v) 4/7 ______ 5/7
(vi) 7/16 ______ 7/19
11. Find the value of:
(i) 1/3 of 12
(ii) 2/7 of 28
(iii) 3 fourths of 32
(iv) 4 thirds of 30
12. Find three equivalents of:
(i) 1/7
(ii) 3/11
13. Verify whether the following fractions are equivalent:
(i) 2/15 and 6/45
(ii) 4/9 and 12/36
(iii) 8/35 and 16/70
14. Sort out the proper and improper fractions:
7/8, 15/16, 15/8, 8/5, 9/28, 6/5, 45/47, 47/38
15. Add the following fractions:
(i) 7/8 + 5/8
(ii) 1/12 + 7/12 + 5/12
(iii) 9/35 + 8/35
(iv) 2/15 + 7/15 + 13/15
16. Subtract the following fractions:
(i) 9/16 - 3/16
(ii) 17/17 - 5/17
(iii) 1 - 8/21
(iv) 21/8 - 13/8
Now, we will practice the word problems provided in the worksheet on third grade fractions.
17. What should be added to 1/3 to make it 5/3?
18. What should be subtracted from 15/7 to get 1?
19. What is the difference between 15/22 and 13/22?
20. Aaron purchased 12 mangoes and ate 1/4 of them. How many mangoes are left?
21. Calvin spent half of his money on books and one-fourth on exercise books. What part of his money was spent and what of his money is left?
22. A book has 68 pages. Shelly read 1/4 th of them in one day. How many pages has she read and how many pages are left to be read?
23. What should be subtracted from 1 to get 1/3?
24. What should be added to 2/7 to make it 1?
25. What is the sum of 18/25 and 7/25?
Answers for the worksheet on third grade fractions are given below to check the exact answers of above basic questions on fractional numbers.
Answers:
The circle is expressing 1/3.
The rectangle is expressing 3/3.
The square is expressing 2/3.
4. (i) numerator 7 and denominator 15
(ii) numerator 15 and denominator 11
(iii) numerator 24 and denominator 25
(iv) numerator 1 and denominator 7
5. (i) one half
(ii) three sixth
(iii) two fourth
(iv) one third
6. (i) one half
(ii) one fourth
(iii) three fourth
(iv) 3
(v) 6
7. (i) (c) \(\frac{3}{5}\)
(ii) (d) \(\frac{4}{6}\)
(iii) (c) one fourth
(iv) (b) sixth two
8. (i) F
(ii) F
(iii) T
(iv) T
(v) T
9. \(\frac{1}{4}\), \(\frac{1}{3}\), \(\frac{1}{2}\), \(\frac{2}{3}\), \(\frac{3}{4}\)
10. (i) >
(ii) =
(iii) <
(iv) >
(v) <
(vi) >
11. (i) 4
(ii) 8
(iii) 24
(iv) 40
12. (i) 2/14, 3/21, 4/28
(ii) 6/22, 9/33, 14/44
13. (i) yes
(ii) no
(iii) yes
14. Proper fractions: 7/8, 15/16, 9/28, 45/47
Improper fractions: 15/8, 8/5, 6/5, 47/38
15. (i) 12/8
(ii) 13/12
(iii) 17/35
(iv) 22/15
16. (i) 6/16
(ii) 12/17
(iii) 13/21
(iv) 8/8 = 1
17. 4/3
18. 8/7
19. 2/22
20. 9 mangoes
21. 3/4 spent, 1/4 left
22. Shelly read 17 pages, pages left 51
23. 2/3
24. 5/7
25. 25/25 = 1
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